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Finding the Fourth Proportional to 11,351.36, 17,043.12 and 6,430.64

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Solution

The fourth proportional to 11,351.36, 17,043.12 and 6,430.64 is: 9,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.36 : 17,043.12 = 6,430.64 : x
  2. Step 2: Convert to fraction form
    11,351.36/17,043.12 = 6,430.64/x
  3. Step 3: Cross multiply
    11,351.36x = 17,043.12 × 6,430.64
  4. Step 4: Simplify right side
    11,351.36x = 109,598,169.20
  5. Step 5: Solve for x
    x = 109,598,169.20/11,351.36
  6. Step 6: Final answer
    x = 9,655.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.